On the characterization properties of certain hypergeometric functions in the open unit disk
Our purpose in the present investigation is to study certain geometric properties such as the close-to-convexity, convexity, and starlikeness of the hypergeometric function z 1 F 2 ( a ; b , c ; z ) $z{}_{1}F_{2}(a;b,c;z)$ in the open unit disk.
Deepak Bansal +3 more
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A PDE Approach to the Problems of Optimality of Expectations
Let (X, Z) be a bivariate random vector. A predictor of X based on Z is just a Borel function g(Z). The problem of "least squares prediction" of X given the observation Z is to find the global minimum point of the functional E[(X − g(Z))2] with respect ...
Mahir Hasanov
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The Pan-STARRS1 z > 5.6 Quasar Survey. III. The z ≈ 6 Quasar Luminosity Function
We present the z ≈ 6 type-1 quasar luminosity function (QLF), based on the Pan-STARRS1 (PS1) quasar survey. The PS1 sample includes 125 quasars at z ≈ 5.7–6.2, with −28 ≲ M _1450 ≲ −25.
Jan-Torge Schindler +11 more
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Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains [PDF]
Let $D$ be a pseudoconvex domain in $\C^k_t\times\Cn_z$ and let $\phi$ be a plurisubharmonic function in $D$. For each $t$ we consider the $n$-dimensional slice of $D$, $D_t=\{z; (t,z)\in D\}$, let $\phi^t$ be the restriction of $\phi$ to $D_t$ and ...
Berndtsson, Bo
core +2 more sources
The 1/2--Complex Bruno function and the Yoccoz function. A numerical study of the Marmi--Moussa--Yoccoz Conjecture [PDF]
We study the 1/2--Complex Bruno function and we produce an algorithm to evaluate it numerically, giving a characterization of the monoid $\hat{\mathcal{M}}=\mathcal{M}_T\cup \mathcal{M}_S$.
Carletti, Timoteo
core +3 more sources
$\mathcal Z$-distributive function lattices [PDF]
For a non-empty space \(X\) and a non-trivial lattice \(Y\), some connections between properties of the poset \([X,Y]\) of all continuous functions \(X\to Y\) and properties of \(X\) and \(Y\) are well known. For instance, \([X,Y]\) is a continuous lattice if, and only if, both \(Y\) and \(\mathcal {O}X\) are continuous lattices.
openaire +1 more source
The Univalent Function Created by the Meromorphic Functions Where Defined on the Period Lattice
The function $ \xi(z)$ is obtained from the logarithmic derivative function $\sigma(z)$. The elliptic function $ \wp(z) $ is also derived from the $ \xi(z) $ function.
Hasan Sahin, İsmet Yıldız
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Functions of the uvula and Z‐pharyngoplasty [PDF]
AbstractUPPP includes uvulotomy. The uvula works as the pilot for eating and swallowing. We performed an operation which left the uvula intact and opened the pharynx by Z‐opening the palate, Z‐pharyngoplasty (ZPP). Twenty‐four patients were studied before and after ZPP. The results of the operations were satisfactory. No patients complained of symptoms
S, Mukai, C, Mukai, M, Nitta
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Measuring the Cosmological Geometry from the Lyman Alpha Forest along Parallel Lines of Sight [PDF]
We discuss the feasibility of measuring the cosmological metric using the redshift space correlation function of the Lya forest in multiple lines of sight, as a function of angular and velocity separation. The geometric parameter that is measured is f(z)
Ballinger W. E. +7 more
core +2 more sources
A characterization of pseudocompactness
It is proved here that a completely regular Hausdorff space X is pseudocompact if and only if for any continuous function f from X to a pseudocompact space (or a compact space) Y, f*ϕ is z-ultrafilter whenever ϕ is a z-ultrafilter on X.
Prabduh Ram Misra, Vinodkumar
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